Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesCounting & BinomialsProof and ReasoningComplex Numbers
Cartesian plane & linesQuadraticsFunction TheoryTransformations & asymptotesPolynomials
2D & 3D GeometryTrig equations & identitiesVectors
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random Variables
DifferentiationIntegrationDifferential EquationsMaclaurin
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesCounting & BinomialsProof and ReasoningComplex Numbers
Cartesian plane & linesQuadraticsFunction TheoryTransformations & asymptotesPolynomials
2D & 3D GeometryTrig equations & identitiesVectors
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random Variables
DifferentiationIntegrationDifferential EquationsMaclaurin
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
IB Math AAHL
/
Bivariate Statistics
/
Problem Bank
IB Math AAHL
/
Bivariate Statistics
/
Problem Bank

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!

Ask Plex AI about this problem

Get hints, ask questions, and work through this problem step by step

I'm Plex, here to help with problems on this worksheet!
[Maximum mark: 6]

A nutritionist records the amount of sugar (​x, in grams) in ten different cereal brands and their average rating (​y​) given by a panel of tasters. The data are shown below.

​x​ (grams of sugar)

​4​

​6​

​8​

​10​

​12​

​14​

​16​

​18​

​20​

​22​

​y​ (taste rating)

​78​

​75​

​72​

​70​

​68​

​64​

​60​

​58​

​55​

​50​

  1. Use your calculator to calculate the Pearson product–moment correlation coefficient, ​r. 

    [2]
    Part (a):
    r=
  2. Describe the correlation between sugar content and taste rating.

    [1]
  3. Find the equation of the regression line of ​y​ on ​x, in the form ​y=mx+c.

    [2]
  4. Estimate the expected taste rating when a cereal contains ​15​ grams of sugar.

    [1]
[Maximum mark: 6]

A nutritionist records the amount of sugar (​x, in grams) in ten different cereal brands and their average rating (​y​) given by a panel of tasters. The data are shown below.

​x​ (grams of sugar)

​4​

​6​

​8​

​10​

​12​

​14​

​16​

​18​

​20​

​22​

​y​ (taste rating)

​78​

​75​

​72​

​70​

​68​

​64​

​60​

​58​

​55​

​50​

  1. Use your calculator to calculate the Pearson product–moment correlation coefficient, ​r. 

    [2]
    Part (a):
    r=
  2. Describe the correlation between sugar content and taste rating.

    [1]
  3. Find the equation of the regression line of ​y​ on ​x, in the form ​y=mx+c.

    [2]
  4. Estimate the expected taste rating when a cereal contains ​15​ grams of sugar.

    [1]